21002211120000 has 640 divisors, whose sum is σ = 77338546243200. Its totient is φ = 5005112320000.

The previous prime is 21002211119971. The next prime is 21002211120049. The reversal of 21002211120000 is 2111220012.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155692582 + ... + 155827418.

It is an arithmetic number, because the mean of its divisors is an integer number (120841478505).

Almost surely, 2^{21002211120000} is an apocalyptic number.

21002211120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669273121600).

21002211120000 is an abundant number, since it is smaller than the sum of its proper divisors (56336335123200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21002211120000 is a wasteful number, since it uses less digits than its factorization.

21002211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134944 (or 134917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002211120000 its reverse (2111220012), we get a palindrome (21004322340012).

The spelling of 21002211120000 in words is "twenty-one trillion, two billion, two hundred eleven million, one hundred twenty thousand".